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We analyze the daily stock data of the Nasdaq Composite index in the 22-year period 1992-2013 and identify market states as clusters of correlation matrices with similar correlation structures. We investigate the stability of the…

Statistical Finance · Quantitative Finance 2015-06-22 Desislava Chetalova , Rudi Schäfer , Thomas Guhr

We investigate the community structure of the global ownership network of transnational corporations. We find a pronounced organization in communities that cannot be explained by randomness. Despite the global character of this network,…

General Finance · Quantitative Finance 2015-06-12 Stefania Vitali , Stefano Battiston

The correlation matrix is the key element in optimal portfolio allocation and risk management. In particular, the eigenvectors of the correlation matrix corresponding to large eigenvalues can be used to identify the market mode, sectors and…

Trading and Market Microstructure · Quantitative Finance 2019-11-05 S. Valeyre , D. S. Grebenkov , S. Aboura

Artificial stock market simulation based on agent is an important means to study financial market. Based on the assumption that the investors are composed of a main fund, small trend and contrarian investors characterized by four…

Trading and Market Microstructure · Quantitative Finance 2021-09-22 Yong Shi , Bo Li , Guangle Du

We study stock market instability by using cross-correlations constructed from the return time series of 366 stocks traded on the Tokyo Stock Exchange from January 5, 1998 to December 30, 2013. To investigate the dynamical evolution of the…

Statistical Finance · Quantitative Finance 2017-12-19 Tetsuya Takaishi

In this paper, we explore the detection of clusters of stocks that are in synergy in the Indian Stock Market and understand their behaviour in different circumstances. We have based our study on high frequency data for the year 2014. This…

Statistical Finance · Quantitative Finance 2019-03-11 Charu Sharma , Amber Habib

In response to failures of central planning, the Chinese government has experimented not only with free-market trade zones, but with allowing non-profit foundations to operate in a decentralized fashion. A network study shows how these…

Social and Information Networks · Computer Science 2018-09-25 Ji Ma , Simon DeDeo

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

Signatures of universality are detected by comparing individual eigenvalue distributions and level spacings from financial covariance matrices to random matrix predictions. A chopping procedure is devised in order to produce a statistical…

Statistical Finance · Quantitative Finance 2015-05-13 Gernot Akemann , Jonit Fischmann , Pierpaolo Vivo

Housing markets play a crucial role in economies and the collapse of a real-estate bubble usually destabilizes the financial system and causes economic recessions. We investigate the systemic risk and spatiotemporal dynamics of the US…

Statistical Finance · Quantitative Finance 2013-12-31 Hao Meng , Wen-Jie Xie , Zhi-Qiang Jiang , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

The financial market is a complex dynamical system composed of a large variety of intricate relationships between several entities, such as banks, corporations and institutions. At the heart of the system lies the stock exchange mechanism,…

This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The…

Statistics Theory · Mathematics 2012-05-31 G. M. Pan , J. Gao , Y. Yang , M. Guo

Here, the structural symmetries of a hypergraph are represented through equivalence relations on the vertex set of the hypergraph. A matrix associated with the hypergraph may not reflect a specific structural symmetry. In the context of a…

Combinatorics · Mathematics 2025-08-12 Anirban Banerjee , Samiron Parui

Detecting the components common or correlated across multiple data sets is challenging due to a large number of possible correlation structures among the components. Even more challenging is to determine the precise structure of these…

Information Theory · Computer Science 2019-02-01 Tanuj Hasija , Christian Lameiro , Timothy Marrinan , Peter J. Schreier

Financial markets are well known examples of multi-fractal complex systems that have garnered much interest in their characterization through complex network theory. The recent studies have used correlation based distance metrics for…

Statistical Finance · Quantitative Finance 2012-05-09 Sayantan Ghosh , Uwe Jaekel , Francesco Petruccione

Information diffusion within financial markets plays a crucial role in the process of price formation and the propagation of sentiment and risk. We perform a comparative analysis of information transfer between industry sectors of the…

Statistical Finance · Quantitative Finance 2020-04-17 Peng Yue , Yaodong Fan , Jonathan A. Batten , Wei-Xing Zhou

There are some statistical anomalies in the Chinese stock market, i.e., positive return skewness, anti-leverage effect (positive returns induce higher volatility than negative returns); and reverse volatility asymmetry (contemporaneous…

General Finance · Quantitative Finance 2015-11-06 Liang Wu , Jingyi Luo , Yingkai Tang , Gregory Bardes

A given neural network in the brain is involved in many different tasks. This implies that, when considering a specific task, the network's connectivity contains a component which is related to the task and another component which can be…

Neurons and Cognition · Quantitative Biology 2021-03-17 Friedrich Schuessler , Alexis Dubreuil , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

Atoms and molecules are important conceptual entities we invented to understand the physical world around us. The key to their usefulness lies in the organization of nuclear and electronic degrees of freedom into a single dynamical variable…

General Finance · Quantitative Finance 2009-03-13 Yik Wen Goo , Tong Wei Lian , Wei Guang Ong , Wen Ting Choi , Siew-Ann Cheong

We present here a topological characterization of the minimal spanning tree that can be obtained by considering the price return correlations of stocks traded in a financial market. We compare the minimal spanning tree obtained from a large…

Statistical Mechanics · Physics 2009-11-07 Giovanni Bonanno , Guido Caldarelli , Fabrizio Lillo , and Rosario N. Mantegna